95953 ÷ 6 = 15992 R1
Let's divide 95953 by 6.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 6

Step 2:
6 goes into 35 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 35 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Step 3:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 159
Subtract 54 from 59 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

Step 4:
6 goes into 55 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 1599
Subtract 54 from 55 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 6

Step 5:
6 goes into 13 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 15992
Subtract 12 from 13 to get 1.

The final result is 15992 with a remainder of 1.